Note: The math notation displayed on this page is duplicated. The first display is HTML and CSS and the second display is LaTeX. If you have a preference regarding the HTML and CSS vs the LaTeX, please leave a comment below. Thanks.
Q: What is the result of finding the limit of secant lines?
A: The result of finding the limit of secant lines is a tangent line.
Q: What is a qubit?
A: Qubit is short for Quantum Bit.
Q: What is the approximate wavelength of a gamma ray?
A: The wavelength of a gamma ray is less than 10 picometers, or 10⁻¹² meters.
Q: In probability theory, what is the meaning of ‘independence’?
A: Two events are independent if the probability of one event does not affect the outcome of the other event.
Q: What is the SI unit for angular velocity?
A: The SI unit for angular velocity is ‘radians per second’. Angular velocity is sometimes referred to as ‘rotational speed’.
Q: What is the derivative of f(x) = sin x?
A: The derivative of sin x is cos x.
Q: What is the limit of 1/x as x approaches zero?
A: The limit of 1/x as x approaches zero is infinite.
Q: What is Planck’s constant?
A: Planck’s constant is often represented by the variable h. h = 6.62607004 × 10-34 m2 kg / s Js
Q: What is the chain rule in calculus and why is it important?
A: The chain rule, in calculus, is used to determine the derivative of a composite function. For example, the derivative of f(g(x)) is f'(g(x)) * g'(x).
Q: What is Newton’s second law of motion?
A: Newton’s second law of motion is represented by the equation F = ma (force = mass x acceleration).
Q: What is the more common term used for “Atomic electron transition”?
A: Atomic electron transition is often referred to as a ‘Quantum Leap’.
Q: What is the Rydberg constant?
A: 10, 973, 731.6 m−1
Q: What is the Rydberg formula for hydrogen?
A: 1/λ = R ( 1/(n1)2 – 1/(n2)2 ) . R is the Rydberg constant mentioned in the previous question.
Q: What does E = mc2 mean?
A: E = mc2 is the equivalence relation. E is energy, m is mass, c is the speed of light.
Q: What is the speed of light in a vacuum?
A: The speed of light in a vacuum is 299,792,458 meters per second (m/s).
Q: What element of the periodic table, and what isotope of this element, is used to define the SI unit ‘second’?
A: (Cs) Caesium-133.
Q: What is the term used to describe a system of ordinary differential equations that do not depend on the independent variable?
Q: What is the third axiom of probability?
A: (See the mathematics below)
HTML and CSS math:
Q: What are the seven SI base units?
A: ampere, candela, kelvin, kilogram, meter (metre), mole, second.
Q: What is a farad, and why is it important?
Q: What is the formula for calculating the terminal velocity of a falling object on planet Earth?
Q: What is the photoelectric effect?
Q: What is an atomic orbital?
Q: What is the escape velocity of the Earth?
A: 11.2 km/s
Q: What is the difference between a covalent and an ionic bond?
A: Covalent bonds share electrons between two or more atoms. Ionic bonds do not have common electrons.
Q: What is a joule?
Q: What would be the immediate result if the Earth’s gravitational field suddenly disappeared?
Q: What is the gravitational constant?
A: 6.67408 × 10-11 m3 kg-1 s-2
Note: Other examples using force (Newtons) to describe the gravitational constant are similar.
Q: What is a BTU and what SI unit does it use?
Q: What is the first law of thermodynamics?
Q: What are the three naturally occurring isotopes of Hydrogen?
Q: What is Ohm’s law?
A: Ohm’s law states that current (I) is directly proportional to voltage (V), with resistance (R) being the constant of proportionality.
HTML and CSS math:
Q: What is the difference between AC and DC?
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